Existence of Solutions for Some Nonlinear Elliptic Anisotropic Unilateral Problems with Lower Order Terms

Existence of Solutions for Some Nonlinear Elliptic Anisotropic Unilateral Problems with Lower Order Terms

In this paper, we prove the existence of entropy solutions for anisotropic elliptic unilateral problem associated to the equations of the form where the right hand side belongs to (Ω). The operator is a Leray-Lions anisotropic operator and ∈ (ℝ,ℝ).

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Veröffentlicht in:Moroccan journal of pure and applied analysis 2018-12, Vol.4 (2), p.171-188
Hauptverfasser: Akdim, Youssef, Allalou, Chakir, Salmani, Abdelhafid
Format: Artikel
Sprache:eng
Schlagworte:
35J66
35J87
Anisotropic elliptic equations
Anisotropic Sobolev space
Entropy solutions
Primary: 35J60
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Zusammenfassung:In this paper, we prove the existence of entropy solutions for anisotropic elliptic unilateral problem associated to the equations of the form where the right hand side belongs to (Ω). The operator is a Leray-Lions anisotropic operator and ∈ (ℝ,ℝ).
ISSN:2351-8227
2605-6364
2351-8227
DOI:10.1515/mjpaa-2018-0014